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Finding the Third Proportional to 35,922.38 and 78,062.63

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Solution

The third proportional to 35,922.38 and 78,062.63 is: 169,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,922.38 : 78,062.63 = 78,062.63 : x
  2. Step 2: Convert to fraction form
    35,922.38/78,062.63 = 78,062.63/x
  3. Step 3: Cross multiply
    35,922.38x = 78,062.63 × 78,062.63
  4. Step 4: Simplify right side
    35,922.38x = 6,093,773,421.89
  5. Step 5: Solve for x
    x = 6,093,773,421.89/35,922.38
  6. Step 6: Final answer
    x = 169,637.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.